In sonnets from the Elizabethan period, "move" rhymed with "love" although they don't today. Recognizing that changes in spelling rarely keep up with changes in pronunciation, how were "move" and "love" pronounced in Early Modern English?
If you believe David Crystal's reconstructions of Elizabethan pronunciation, you can check out the Romeo and Juliet recording on this page. There both "love" and "remove" are pronounced with a vowel very much like that in the modern "love", but shorter. I know his work is well-respected enough that the Globe has used it in a few productions, but I believe it's not universally agreed with, so treat this with a moderate amount of skepticism.
Rhyming words based on spelling when they are not pronounced the same is called variously "eye rhyme", "sight rhyme", or "visual rhyme".
This may occur due to historical changes in word pronunciation, where words in the rhyme were once pronounced the same, but no longer are. However, it is also a valid poetic device; the presence of eye rhyme does not necessarily mean that the pronunciation of words has changed.
This resource indicates that the love/move/prove rhyme results from a change in pronunciation, but does not say which words changed.
According to "Early Modern English" by Charles Laurence Barber, the vowel o in love had already reached its current pronunciation /lʌv/ (same sound as in cup, luck), but an alternative pronunciation /lu:v/ was in common use by poets (same sound as in blue).
Certainly the following piece¹ is not a complete answer to your question, but, for the reason that there is an interesting fragment on the drift of "ove", I decided to post that as a little contribution.
¹ Mother Tongue, Bill Bryson, Penguin Book.
Hmmm.....I think you are referring to Sonnet 116, yes? Well then, let's see: first off, without going into a very long lecture about the Great Vowel Shift, let me summarize that William Shakespeare the man would have sounded absolutely nothing like what you hear from old recordings of the Royal Shakespeare Company, not even close. Unfortunately that very formal pronunciation is a leftover fron the 19th century. It did not occur to the performers and intelligentsia of London that their great Bard was from rural Warwickshire and had more in common in his accent with farmer's daughters acting as servants in their households than with their clipped RP; the same is incidentally true of a lot of the actors and writers in London circa 1594. Many of them spoke with their native dialect. Many of these (Marlowe, Shakespeare, Thomas Nashe, very likely Will Kempe) were born in the countryside and would have spoken normally onstage (a few pages of the handwritten piece of the play Sir Thomas More is thought to be Shakespeare's in part because his spelling reflects the spellings used at the time in Stratford-Upon-Avon, which in turn reflect his speech.)
So, without further ado, let me show you a rough approximation of what Shakespeare would have sounded like using Sonnet 145, spelling phonetically. (This is also one of the few poems we have of his where the world is 100% certain who it is addressed to-fifty points if you figure it out ;)
Those lips tha' luff's oon 'and did mek,
Breetht farth tha soond tha se' "I hey't" [glottal stop on t]
To me tha' laangwisht furr hurr sek,
Buh whain she sahhw me whoa-full stey't , [glottal stop on t]
Strey't in urr art did mare-seeee coom, [glottal stop on t in "straight"]
Choy-din' tha' toong tha', e'er swate,
Wuz yooused in givin' gin-tul doom,
An' taahh i'thus a-nyoo tuh graate [roll the r very slightly in "greet;" "taught" is totally transformed as "tahhh"]
"I hey't" she ahl turrd with an ainnd [flat a on first syllable of "altered," as in "cat'", another glottal stop on "hate"]
Tha followed i'as gin-tul deey,
Doth follow noy'it oooh, loik a faiined [barely pronounce the t in "night"]
Frum hee vun to hee-all is flone a-wheey.
"I hey't," frum hate a-whey she throo, [roll the r very slightly in "threw."]
An' sayft me loif, sayin' not ewe.
A lot does not work in the poem if you read it in RP or most modern English dialects: doom does not rhyme with come, sweet does not rhyme with straight, and generally reading it in RP throws off the timing (most speech in Shakespeare's time was rhotic: Swallowing the r's changes the flow of the words and the intonation of speech.) In fact, if you read the poem without the original pronunciation, you miss the likely addressee of the piece, because in RP nobody drops the d at the end of a word, like "hand". Shakespeare liked to hide little puns in both his plays and poems that come alive if you read it his way, and mining for them can be fun....who knows, perhaps to Shakespeare a woman wrapped in a tiger's hide is actually a woman wrapped in a tiger's EYED?
I have read that in the times before U and V were distinct letters, whenever a U and a V occurred together, it was common practice to draw a line over the one that was a vowel. So the words love and move were spelt something like mūue and lūue. Eventually, people's quick writing caused the ū to appear like an o. Later, the lower case v was introduced in place of the second u.