Shorts too tight?

[Daston]

First off I am not a serious road cyclist, I use my road bike to go to and from work and the odd summers ride.

My current shorts are baggy shorts with a padded inner Lycra short. I find the inner short starts to dig into my legs after about a mile and I have found circulation being a bit uncomfortable by the time I get to work.

If I go up a size wont they still just fit as tight due to the elastic? or will they be looser? Even better can you just get baggy shorts with padding built in?

Any suggestions would be great