The Bassman 500 head is 17 pounds and pretty huge for a class D amp + tube preamp. For an extra $100 you can get the GK MB800 fusion (+300 watts, only 5.5 pounds, fits in your gig bag).
The Bassman 610 has neodymium speakers, but still weighs in at 90 pounds in one big box.
If the shlep is a concern, consider an efficient 212 (should be under 50 pounds) and if you need more slam for your outdoor gigs, double up.
Edit: Not saying anything bad about the Fender stuff, just seems kind of big and heavy compared to other offerings.
Agree with dgrizzly's post that the Fender Bassman 500 + Neo 610 is on the heavy side for what you originally posted. Also agree that that set up would rock, but there may be slightly more convenient options that are equally rocking. Some general suggestions:
1) Amp heads - check out the solid state (aka Class D) amp heads and the Hybrid (solid state + tube) amp heads. Each major manufacturer has their line models offering different power wattages. Examples are Ampeg PF series, GK MB and MB Fusion (hybrid), Aguilar ToneHammer, etc. One of the biggest differences in gear over the past 20 years has been improvements in amp heads. These solid state amps can offer a great sounding head in a package under 10 lbs. There are plenty of guys that gig regularly with these smaller amp heads and don't miss their 90lb tube heads too much (at least not enough to keep lugging the old tube heads around).
One thing to also note about the new solid state heads is that watts in these amps are not quite the same as watts for the old tube heads. Watts in these small amps are loud. An Ampeg PF-500 or GK MB-500 (both 500 watts) is plenty loud for most gigs and the PF-800 or GK MB-800 (800 watts) is usually way more than enough. Check out some of the TB reviews on these heads and you will get an idea of what types of gigs they can handle.
2) Cabs - cabs have also improved over the past 20 years and the the neo speakers are lighter yet still deliver good sound. Each major mfg also offers the lighter weight neo cabs.
3) Cab configuration - you may want to look at a modular cab set up. The Neo 610 you mentioned rocks but it is 90 lbs!!! Do you have a residency that you will always play the same 200+ person club each month? Or do you sometimes play the 50 person dive bar as well? If so, that Neo 610 will be way overkill and a hassle to lug to the 50 person dive bar gig.
A modular set up may be more convenient. You can get 2 x 210 cabs, 2 x 212 cabs, or 2 x 115 cabs, or 2 x 410 cabs (check out threads about vertical stacking cabs). For the big gig bring both cabs, for the smaller gigs just bring one cab. Now a days, a good 210 cab and solid state head can easily get you through a 50 person dive bar gig. And the cab and head would weight less than 40 lbs total!!!
If you do go modular, just make sure you buy the cabs with proper ohms so you can pair the cabs and not blow your amp head. I.e. 2 x 8 ohm cabs daisy chained (i.e. parallel) = 4 ohms total. So make sure your amp head can handle the 4 ohm (most heads can go down to 4 ohms). Problems can occur when going below 4 ohms (like daisy chain 8 ohm + 4 ohm cabs).
There are plenty of TB threads about modular cab set ups, vertical stacking, matching cabs (don't even start on the 210 + 115 cab pairing lol).
4) As always, if possible take a listen to the amp and cab set ups before you take the plunge. There are plenty of options out there, especially for your budget, so you may want to tinker around a bit before purchasing.
Enjoy and welcome back to the bass brotherhood! Rock on!
The Bassman Pro 610 Neo is absolutely legendary for great tone. It is 4 ohms so you'll get the full 500 watts out of the head. I'm sure you'll love that rig 
