It would be preferable to see it written as:
"I wanted to take the train to your place and, from there, Uber to the venue."
The reason is because "from there" can be taken out and the sentence would still flow perfectly:
"I wanted to take the train to your place and Uber to the venue."
Since we already know that you're going to be at their place, it would be safe to place commas around repeated information. Depending on which parts of your sentence were to become longer and if said changes turn it into a run-on sentence, adding extra commas would definitely be necessary.