Running right after lifting...

Well, when you're muscles are fatigued, they are going to be weak and not be able to protect you from injuries as well. You'll be more likely to pull something or something like that, so no, it's not ideal. If it's mostly your upper body, though, you might be fine.

You will get hurt before or after just do it, you will be better off for it.

can you run first, then lift?

Anectodally - I do a quick total body workout before most recovery and easy runs. Usually one "superset" of each major muscle group. Never had a problem/injury because of this. In fact I run stronger and better when I do this rather than when I don't. I never lift before a runs of more than 10 miles.

I try and lift heavy twice a week. 3 - 5 sets per muscle group. Always total body. But this isn't as important as my mileage. I have tried to lift heavy in the AM and then run a speed workout in the PM - Bad idea. Very bad idea!

It may depend on your goals in terms of running v. lifting.

I lift twice a week, or now once a week now that our season's underway.

I do it after I run, usually an easier recovery run, and I haven't had any problems. I wouldn't do it after intervals or anything that builds up lactic acid, though, because the acid buildup will detract from how much you can lift and increase soreness and chance of injury.

Good luck!

You will get hurt before or after just do it, you will be better off for it.

rubbish. john had us run directly after our weight workouts in fayetteville. his thought was that it wouldn't let you get too big.