Keep radiators?

[Erica Nagle]

I keep going back and forth on what we should do so I wanted to through this out there for thoughts. 

Situation:

Multi-family with radiators in each room. They are in fairly good shape but could use a paint job. The boilers need to be replaced so we are replacing the main units no matter what. 

Dilema:

Keep the radiators or put in new system? 

Here's why I think maybe keep them: They have character and may add character to the finished product. If they all work, this is a significant money saver not replacing them.

Here's why I think we should get rid of them (as I've been told by others):

1) Can sell them/scrap them for pretty good $$...true or false?

2) The building codes don't allow them...true or false? I highly doubt this because I was told this by and HVAC guy.

3) They probably don't work and it would be more expensive to fix them than just replacing the whole system....true or false?

What have others done when they have a property with radiators for heat?