Both coins regardless of any mintmarks are very common and most valued for just the silver so most jewellers and coin dealers buy them.
1922 is such a common date for silver dollars that the value is only for the silver content. With current silver prices, a '22 Peace dollar is worth about $21. To sell one, either take it to a coin dealer, or post it on eBay.
Take it to a US currency collector.
1922 is one of the most common dates for US silver dollars. They currently sell for around $20-$25 each.
1923 Peace Dollars are so common circulated coins sell for $32.00-$37.00. The actual value depends on the grade of the coin.
The Silver Peace dollar was the silver dollar to come after the Morgan Silver Dollar (1878-1921). The Peace dollar was made from 1922-1935) It is composed of .900 silver. It is 90% silver and 10% copper. A Peace Dollar is a silver dollar struck by the US mint for circulation from 1921-1935. It features Liberty on the obverse with a radiate crown, the reverse shows a bald eagle perched on a rock with an olive branch and the rock in inscribed "PEACE". The coin was struck to commemorate the end of WWI. Coins were minted in 1921 (that year was the final year for the Morgan Dollar also), 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1934, 1935. The 1921 issues are highly prized because they are struck in high relief and the 1928 (no mintmark) coins are considered to be the "key date" and sell for much higher than bullion pricing. Pieces struck in common years like 1923 and 1924 unless flawlessly uncirculated sell for bullion prices which at the time of writing range from around $22-29 or so.
You can sell them to anybody, but I suggest finding a coin dealer in your area. For the year 1921, two types of silver dollars (Morgan and Peace) were issued, and each is a separate series of dollar coins. The designs and values are very different. The 1922 dated coin is a Peace dollar, but it is the most common date of the entire series. They need to be seen for an accurate value.
You could sell it at a coin collector or on eBay.
The spelling of of TRVST is just part of the design and is on all Peace Dollars. 1923 is common and has retail values for circulated coins of $15.00-$25.00. Mint state coins sell for $30.00-$40.00
1923 Peace Dollars are so common circulated coins with no mintmark sell for 16.00-$20.00. Coins with a D mintmark are $16.00-$28.00 and the S is $16.00-$24.00. The actual value depends on the grade of the coin.
1923-D Peace Dollars are so common, circulated coins sell for 31.00-$43.00. Typical uncirculated coins are $50.00-$65.00. The actual value depends on the grade of the coin.
1923 Peace Dollars are so common, circulated coins with no mintmark sell for 30.00-$37.00. Typical uncirculated coins are $39.00-$45.00. The actual value depends on the grade of the coin.
1923 Peace Dollars are so common circulated coins regardless of mintmark sell for $31.00-$33.00.