What happens between submitting a transaction to the network and it being confirmed? I am very new to bitcoin, appreciate any help that I can get for below queries. 
1) Is there any way (site or app) to know, to which node my current (latest) transaction is headed to? Does it go to one node or many before included into block? Probably it is going to the pool, where it will be picked to included in the block. So do we know which pool it landed in?

2) How to know, how many miner are currently working with my latest transaction, which is yet to be included into the block? Here is my understanding, more than one miner can include one transaction and all may not have same transactions. So how to know who all are working on this

Kind Regards
Some miner will mine the next block. No one knows which one it will be. For transactions to be included in a block within a reasonable period of time, pretty much all miners have to know about pretty much all transactions.

You don't know who is currently mining and maybe you're on a bad internet connection so you don't want to send your transaction to every single miner in the world, just in case that is the one who will build the next block. You merely have to send your transaction to a single node in the Bitcoin network. If it's valid and contains a reasonable fee, it'll be automatically propagated through the network and find its way to all miners.

So to answer your first quesiton: It didn't just go to a single miner. You can be pretty sure all miners know about it.

Miners don't tell others which transactions they are trying to get into the next block. This changes with really, really often, for every big miner. They by the way are working on many blocks at the same time, hoping to succeed with one.

Once a transaction has been included in a block, you can find out who made that block. Let's say your transaction ID is ccb5133b45fbca133936ab059377d4a5e4078a48b98349c8beb99c2cee529716. Head over to https://blockchain.info and enter it. You'll be shown that it's included in block 446059 ("Included In Blocks"). Click on that number and you'll be shown that block. There is a field called "Relayed By" whose value in this case is "BitFury". So you know the block was probably made by BitFury.