You know if it's been sporterised or is it in military configuration? That'll determine if bluing is appropriate. Most Lee-Enfields were not blued to start with. And most smithies don't do hot bluing due to the amount of hand work required plus the need for a separate room free of ferrous metals to do it.
Which model you're getting will determine how easy it'll be to re-stock. What kind of stock you want matters too. A sporter synthetic runs about $80. Wood will be a bunch more. Military will be a whole bunch more and will depend on the model. A walnut butt stock for a No. 4 alone runs $60ish from Marstar. They list No. 1 butt stocks, but don't give the price.
Either way, check the headspace before you do anything else. Thousands of Lee-Enfields were assembled out of parts bins with zero QC.
Then slug the barrel(hammer a cast .30 calibre bullet or suitable lead fishing sinker through the barrel with a 1/4" brass rod and a plastic mallet and measure it with a micrometer. Way easier to do than type about.). Lee-Enfield barrels can measure between .311" and .315" and still be considered ok. Over .315" the barrel is shot out. Commercial ammunition and reloading bullets are either .311 or .312".