There is no reason why they would not tell you what the appraisal process is and be willing to itemize for you what you can do to help your property appraise higher or highest possible.

If financed, appraiser items may come up.

I figured outside of paying for material cost and contractors for work, the items above would be a normal part of managing the property.

This isn't a big box store item I'm presuming.

The tenants do have access to the basement though because they have a ton of junk down there.My question is can I ask them to remove all of their items from the basement and change the locks to eliminate their access to the basement?  

When I look at your list of activities above, I can tell you without a doubt, the third item is by far the most important and where you should be spending the vast majority of your time.  

Rehab budget around $20K - $25K and 4-5 week timeline.While I have my own thoughts on the rehab, I thought it would be interesting to crowdsource input from this forum on particular items, such as:Pergola in backyard:1) Keep it2) Remove it3) Replace canopy (if so, which material)?

It was much worse when we started and there was so many random items leftover.

Another item that will come to play is condos.

Pretty much any items that would affect the price except for the living square footage.