Hey OP! You will need to install bitcoin core to export private keys, then litecoin core as well as the dash-qt.
The procedure will be following for all of the coins, as far as i know.
First of all, install the client for each one. Then pick up the wallet file, and copy them to following places for each coin:
Bitcoin:
%appdata%/bitcoin
Litecoin:
%appdata%/litecoin
Dash:
%appdata%/dash
After you have copied the wallet.dat files into the folders, you must then export the private keys:
You will need to check from block explorer which addresses have balance, and then export those addresses private keys.
Open the bitcoincore for example, press help -> Debug window, and then write:
walletpassphrase yourpassword 9999
Then on the same window we must dump private keys:
dumpprivkey "address"
Enter the address without quotes, and then press enter, and you should get your private key. Save it onto a place where you can easily find it.
Then we must get electrum wallets to send the funds to any places without actually needing to sync the whole chain.
We need
Electrum BTC,
Electrum LTC, and
Electrum DASH.
The import process goes the following way:
When you install the electrum programs, and open them, they ask you to create a new wallet. The options are the following:
Standard wallet -> Use public or private keys, and then you paste the private key there.
The process should be pretty much the same for every currency, feel free to ask if you have any more questions. I tried to write this as detailed as possible.
Edit: I just tested electrum dash, apperantly the options are little bit different. On first screen you must choose standard wallet and restore wallet and import keys.