Scenario: First Date. You're going to say you're planning on going somewhere, and she's welcome to tag along.

For the time/date, given that you're planning to do it on your own anyway, giving a couple of possible dates seems to reveal too much of your power - she'll get the impression you are creating the event for her, yes?

Would you instead, say that you plan to go to X within the week, and she's free to come then segue to what's her schedule.

E.g.

You: "I'm going to X cafe sometime this week, you're welcome to come along"

Her: "Oh that's nice, wheres that"

You: "Its at X, how does your schedule look"

Her: "Well I have this on bladay bladay and bladay"

You: "let's meet 12 on Wednesday"

Do help me out with phrasing if you find it fucky

Thanks