Sloghut 1024
 

How do I get those muds over to the levers?

I've blown up the sligs near them.

but the poppers always get me.

Once you've blown up those Sligs at the far end (or, if like me you prefer a mor epeaceful approach, and have picked them all up and put them in the cage), use Abe to carry each Mudokon individually across the gauntlet; make sure you have an Expresso taking effect on you, though, or else you'll innevitably get shot down each run and lose that Mudokon.

In fact make the run on your own a couple of times before hand and you can get rid of the Slogs.

Good luck - Munch's Oddysee, unlike the previous games, is less a test of reasoning and reactions as it is a trial of tedium.

is there a good way to get past the mines?

Not while you are carrying a Mud. It is just best to keep running and zigzag through the mines. Ofcourse, you can jump over them on your way back...

crap...It'll never work

Carrying muds
 

There's a little room between the mines and the sligs fences-on the right...Juuuust enought to slip by with a mud-takes some practice to not get hung up.
You can use the catwalk to get back and avoid getting shot.