Are there high-end stores in your area? If so, I would stop in at a shop and listen to some gear. Find a CDP or amplifier that you like and try it in your system. The reason I say this is because it will be difficult to determine which would make the bigger upgrade.
If you're eager to buy gear, I would direct you to a used integrated amplifier. From what I could find in a quick Google search, the 11se is 89 dB/1W/1m sensitive, so a mid-power tube unit could drive them to reasonable levels. I'm thinking Jolida.... For a CD player, Rotel, Arcam, and Music Hall are good units to look at.
Cables - It's really easy (and cheap!) to make your own using great materials. You sounded averse to soldering in equipment, but it's almost impossible to screw up basic ICs. Good wire and connectors can be had from Michael Percy Audio or Parts Connexion. If you'd prefer to buy, entry-level Kimber Kable, Cardas, and XLO are tough to beat.
If you're eager to buy gear, I would direct you to a used integrated amplifier. From what I could find in a quick Google search, the 11se is 89 dB/1W/1m sensitive, so a mid-power tube unit could drive them to reasonable levels. I'm thinking Jolida.... For a CD player, Rotel, Arcam, and Music Hall are good units to look at.
Cables - It's really easy (and cheap!) to make your own using great materials. You sounded averse to soldering in equipment, but it's almost impossible to screw up basic ICs. Good wire and connectors can be had from Michael Percy Audio or Parts Connexion. If you'd prefer to buy, entry-level Kimber Kable, Cardas, and XLO are tough to beat.