Welcome to Shop Talk. Knifemaking and bladesmithing are fun, but take your time and realize that it will be a long process from basic knives to high end knives. It also is a long learning process from basic skills to advanced skills like welding up odd billets of steel pieces. Go slow and learn one skill at a time. When that is developed, move to a new skill. Most makers start with a simple drop point hunter and make five or more of that style before venturing to more advanced knives and methods. In the beginning, stock removal ( filing and grinding) is the best way to get started. Forging will come along on its own. Here is the BF search engine to find any topic:
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The bench block you linked to is for small jewelers work...it won't work for knives.
The round is too small for anything but a cutler's anvil ( finishing rivets and such). Placed in a bucket of concrete it would do, but a bigger piece of steel would be better.
Get a block/round of steel weighing 70# or so. A used or broken fork lift blade is a favorite anvil source. Google/search fork lift blade anvil.
As to your wish to pound the scraps together, or the suggestion about melting them into new bar stock, both ideas are bad ones. Technically, both can be done. Practically, neither will produce knife steel. It will also take a lot of equipment and experience to do either one. Just buy your bar stock in the sizes needed to keep down waste. Most makers use 1.5" and 2" wide bar stock. 1/4" is also pretty thick unless you are forging it thinner. 1/8" is more than thick enough for most any knife. 3/16" will do for even the biggest camp chopper. While 1095 makes a good knife, 1084 will be a better choice while you are learning and gaining HT experience. It is a great steel no matter what your level is, but in the beginning it is a really easy steel to work and HT.
Knifemakers and blacksmiths often become ridiculous hoarders and save everything they think can be re-purposed. Their shops and homes are often filled with and surrounded by old junk. Don't make it worse by saving scarps of steel and filings. Just toss them in the trash when you clean up. Even saving them for the scrap yard is almost ridiculous, as it would take most folks a year to save up a couple dollars worth of scrap. In a large production shop, having a scrap bin is good, in a small home shop, having a trash can is better.