I use the Minimal Twitter extension to remove everything. I have a chronological twitter feet with no ads and no suggestions. I go in maybe 2-3 times a day for 5-10 minutes, scroll down and like/respond as desired, then leave once I recognize the tweets from last time (or I get bored).

I'd be happy to pay $1 or $2/mo for this directly from Twitter, but until that's an option I don't feel remotely bad removing my sliver of ad revenue from their bottom line.