Bilge pump question

[Curious Sailor]

I have a 1973 Macgregor Venture 21' trailer sailor that I am currently restoring to put back into serviceable condition. I'm new to Sailing but have had power boats my whole life. One of the key differences I noticed with this sailboat vs other boats that I owned is the lack of a drain plug..

The cockpit has a hole to allow a path for the swing keel cable and from what I can tell, it doubles as a cockpit drain. That works fine but my concern is the cabin. Water collects in the cabin and settles towards the center of the boat. Normally I would place a bilge pump at the lower most collection point however there is a keel trunk right down the center so water collects on both sides. Then there are the stringers Forward and aft which also hold water in separate compartments of the boat.

My question is do I need multiple bilge pumps or is there another solution that someone can share. (Other than, just don't get any water in the cabin or go buy another boat..lol)