Finish the series, then watch End of Evangelion, and then do some reading about it to get some context that you’ll probably find important if you’ve enjoyed the series. THEN you can watch 1.11, 2.22, etc.
These movies are billed as “Rebuild of Evangelion,” implying that they are a remake/reboot of the series, and 1.11 definitely feels that way, but they start to diverge from the original story pretty quickly, especially in 2.22. There’s a well-supported theory that these movies are technically sequels. I buy it, not everybody does, but just in case you do, I’d recommend making sure you see “End of Evangelion” after you finish the TV series and before you see anything from the rebuild movies.
Seriously, though, read some critical discourse and history about how the show got made, why it turned out the way it did, and how all of these stories and timelines interact and intersect - it’s WILD. Short version: they ran out of money and had to rush the final couple of episodes for the original TV show, which might explain part of why those episodes turned out they way they did. Some time later, there was a movie called “The End of Evangelion,” which could be seen as a replacement/alternative ending made with a much higher budget. Also the director had/has some serious mental health stuff he was/is working through, and his perspective is an interesting and vital lens through which to view his work.