Awesome project! you'll need to pull the anubias up a little more so the rhizome is exposed; it will start to rot if buried. It actually pulls nutrients out of the water column, so you can tie it to decor too.
Those plant bulb packs are great, just make sure you hold onto the package because they're notorious for not growing. Out of my plant pack, only one sprouted (the water lily) and it is gorgeous! You can send in the package to the company that sells them to get any bulbs that won't sprout replaced for free. Just a word of caution, both the water lily and aponogeton can quickly outgrow a tank if you're not aggressively pruning them. My water lily grew 20+ leaves and started blocking out the light to the rest of my plants, so I had to rip it out of my tank... Fortunately some roots were left behind and I now have two separate manageable water lilies, and I remove leaves as soon as they reach the surface to keep it under control. The plants will grow on their own, but they will benefit from the ammonia produced by fish or snails. You may wish to add a couple of snails for now so you don't have to worry about feeding anything.
Plants grow at very different rates, it depends on lighting and nutrients too. Your anubias Afzelii will be slow to grow, whereas once they get going the water lily and aponogeton plants will grow very quickly with enough light. I think after the first sprout mine totally took over the tank within three weeks :P
Some good sites to find plants that aren't generally available locally are http://bobstropicalplants.com/home/
I've ordered from both sites multiple times and been very happy. Bob especially goes above and beyond, once he was out of one of the plants I ordered, so he sent me 5 plants of different varieties for free to make up for it.