You'll be fine with the existing mechs and chain length. It's possible that the position of the front mech may need adjusting slightly, but even that is unlikely.
Chain length more importanly depends on the largest chainring and largest sprocket rather than the smallest ones. Rear mech cage length depends on the difference between lowest and highest gear, but a short cage will still be fine for your new gears.
Do not remove a link unless the chain is already longer than necessary to work with 53/21.
Good to hear you're back on the bike.