I have a large number of vinyl LP records, some quite old. In recording them to Audacity, there are pops that are heard in the recording. Is there any way to remove the pops and keep the quality of the recording?
You can try Audacity’s Click Removal effect - see this page in the Manual: http://manual.audacityteam.org/o/man/click_removal.html
This section of a suggested workflow for LP digitization also has useful tips: http://manual.audacityteam.org/o/man/sample_workflow_for_lp_digitization.html#clicks
Really stubborn clicks can be got at using this tutorial: http://manual.audacityteam.org/o/man/click_removal_using_the_spectrogram_view.html
My personal favourite tool is Brian Davies’ Click Repair - it costs a little (you do get a 14-day free trial) but if you have a lot of LPs and a lot of clicks (as I did) it’s well worth it, producing almost magical results. See this sticky thread: https://forum.audacityteam.org/t/click-pop-removal-clickrepair-software/1933/1
WC
Buy the CD or MP3!!! 
(If it’s available.)
[u]This page[/u] lists several applications for cleaning-up digitized records.
I use [u]Wave Repair[/u] ($30 USD) which was developed by the author of the above web page. It can remove most clicks & pops without a trace, and in the manual mode it only “touches” the audio where you identify a defect. The downside is that it generally takes me a full weekend to clean-up an LP.
Next time, I’m going to try one of the more-automated applications such as Click Repair or Wave Corrector.
Mostly, but not always, the best plan.
One example: I bought an Emmylou Harris re-issue CD where the “re-mastering” and “loudness wars” stuff made the re-issue so poor that I went back to the damaged LP and processed it with ClickRepair and Audacity to get far superior results. 
WC