Don't sell the gold. Gold will come back again gangbusters down the road....despite being in a bear market for 5-7 years now. With the same logic you would have sold off all your stocks back in 1978-1982 after a 12-14 yr bear market. And missed out on an 18 yr rally.
The gold coin you show above is a common date $5 Liberty with 0.24 ounces of .999 fine gold. It looks to be in XF/AU condition. In today's market the 1881-P or 1881-S coins sell for their melt value in circulated grades which yours looks to be. Figure at today's gold prices that's $285. Most pawns and gold shops will offer you 1-10% UNDER spot/melt. If the date were a rarer 1881-cc then it would be worth considerably above melt.
You can post other photos of the gold coins as that's where most of the value is. If that 1881 were in choice uncirculated MS63-64 condition it would be worth $350-700. In gem MS65 condition around $1,000-$2,000. 95% of the time with bulk collections, the common/modern proof sets (post 1955) really aren't that valuable. There are tons of them. Same for bulk 90% pre-1965 silver coinage and foreign currency. You could take it to a coin shop for an appraisal and the odds are if there's anything really good sleeping in your holdings....they won't tell you. They will just buy the entire lot for a low price. Coin shops work on buying at 20c to 50c on the dollar...for anything but gold and silver bullion where spreads are as high as 80-95% of spot value.
Rolls of Ben Franklins aren't anything special for the most part. Circulated ones sell for their melt value or 0.71 x spot value. Each circulated Franklin is worth about $5 in circ. I bought a fresh 20 piece uncirculated roll of 1963's this past year for $180....or about $9 per coin. Mint fresh 1964 JFK halves in 90% silver you can buy at $120/roll of 20...or $6 each. Silver is what drives the price.
Common silver dollars from the 1878-1904 period are generally worth $15-$25 in circulated condition...undamaged. The later Peace design of 1922-1935 sell for less generally. You need to have rare dates or unc. condition to get value on silver dollars. You can look up better dates and mint marks on line to see if you have any...any CC mint, S and O mints in the 1890-1896 period, 1921/1928 Peace dollars. Uncirculated silver dollars can be worth anything from $15 to $Thousands depending on condition and date. Mint fresh coins can bring serious premiums. And serious collectors with such coins would have placed them in protective flips/albums/envelopes/etc. If your finding them loose in a box, the odds are very slim you have something valuable other than gold/silver content.
US paper currency isn't all that valuable unless in choice/mint condition and pre-1950's. Silver and gold certificates do bring premiums. $500 bills are highly sought after... and sell for $1,000 or so last I checked. National Bank notes from the 1800's to early 1900's are very collectible too.
Your best bet is to keep the items as treasured family items. Feel free to post photos of your oldest or highest condition items. The only way you get fair value for your stuff is to know what it's worth BEFORE you visit dealers. Their job is to buy it as cheaply as they can. Look up a local coin show in your area in the near future (google coin show by states). You can always show it to multiple dealers at one time. Most will just ask what you want for it....or low ball you a number.