Emil hit the high points.

I'll break it down into a few categories:
-ecu, EFI or Carb (need one or other)
-Hemi specific swap parts (motor mounts, oil pan, etc)
-fuel system
-motor build

ECU:
EFI computer is $1300 with within harness. That will control spark and fuel. Full sequential. Tune it yourself.
Carb spark control - $600? MSD I believe. Intake to get would be one of the following: low rise: Joe's new intake- I think it's sub $700, and appears to be the best power low rise intake in early testing. High rise (very high) Ritter intake- $799 or less, drag pak style intake. It's what all the engine masters guys run.

Hemi specific swap parts. Plan on there being fitment issues and there being fab work to adjust mounts and/or dents needed on headers.
$750 TTI A body Borgeson swap headers. (Swap borgeson hardware to low profile Allen)
$150-$250 TTI motor mounts
$150 oil filter block off plate and remote oil filter with lines (don't buy a kit) OR 45* adapter and fab work on mounts and K member (I did first, Emil did second). If doing remote, MUST open up 3/8 NPT fittings going on the side of block to 1/2" ID.
$250 flywheel
$90 starter
$40-$60 pilot bearing
Clutch, tranny, etc, all same as LA motor
$200 radiator
$50 radiator hoses
$60 electric fan (efi ecu will control it, carb ecu will not)
$200-$400- oil pan
$75- pickup
$40- truck windage and gasket (extra RTV needed where gasket and pan rail deviate)
$15- Mopar brand Engine RTV (must)

Fuel system options:
$250-$400- carb electric pump ($100)into BC broncos accumulator ($70) into walbro gsl 392 ($90) into corvette filter regulator ($40). Plus lines and fittings ($100). -what I've used for for 8,500 miles of my swap. Could run down to 2gallons or so without issue. Did have a pump failure partially due to tank not vented. Did have fuel temp issues.
$600- tanks inc tank ($230) plus pickup, pump (walbro 255lph or 400 LPH or 460 lph e85), level sender, etc. Still need corvette filter regulator ($40) and connections ($100) -what I'm swapping to now. Will see if it has any issues below 1/2 tank.
Other options include fab your own with gen5 Camaro pump (best for low fuel issues, worst for fab involved), Rick's ($2000), hot rod city ($900), aeromotive swapped tank on eBay ($650), etc etc.

Motor build:
For a budget build, I would do the following:
Shop for a spun rod bearing 5.7 03-08 car motor complete with front cover, coil packs, etc. ($300-$1000). Or a good deal on a bare block is fine ($300 max)
$1800-$2000 stroker kit (make a 392 ci)
$350 balance job on rotating assembly
$100 head bolts and main bolts
$60 head gaskets
$500-$600 5.7 eagle heads (09 and newer model 5.7's all have them)
$60-$400 - 6.1 balancer or ATI Balancer (used they are cheaper)
$100 timing set
$330-$450 camshaft
$200-$300 new lifters
$120 custom length pushrods
$150 oil pump- melling
$125- used 6.4 injectors (40-44#)
$90- valve covers- eagle head or 6.4 Apache head specific
Reusing from core motor you bought (prices listed in case the core is missing some things or you start with a bare block): front cover ($150), water pump ($90), idler, tensioner, cam sensor ($30), crank sensor ($30), 5.7 intake and fuel rails ($50-$100), coil packs ($100)
Possible upgrades:
Intake- $600 6.1, $200 5.7 eagle
Head porting- $500-$1500. They flow 330cfm in stock form, so not needed, but may yield 20-30 hp
6.1 block- $1000 bare

Some guys have built the 09 and newer 5.7 blocks. I am not as familiar with those. Main differences: different front cover and accessories (?), and the cam timing set is designed for VVT. Costs a bit more for the cam and lockout gear, OR a 6.4 cam can work ($100). Also there is supposed to be aftermarket VVT control coming to the market in Megasquirt form. We'll see.

Alternatively you can get a 6.4 Hemi crate motor for $7000 or so. Then get all the swap parts.

Lastly there are deals to be had on Hemi parts if you're patient and watch CL.