These three words can be synonyms, but have slightly different connotations.
First, travel is usually a verb...
I will travel to Washington DC.
...but not always. In common speech (at least as far as I am familiar), when used as a noun, it is used in its plural form:
How were your travels?
Compared to the substantially equivalent sentences:
How was your trip?
How was your journey?
One could also ask How was your travel?, but it this would have a more specific meaning, for instance, "How was your flight from New York to L.A.?" as opposed to "How was your entire journey, and the time you spent in L.A.?"
Trip and journey are more closely interchangeable, and vary mostly in duration, distance, and formality.
A trip can be a short journey. One can take a trip to the store, but it would be unusual (except in poetic exaggeration) to take a journey to the store
A journey would often imply a longer (in terms of time and/or distance) trip, perhaps to multiple destinations, or with a greater sense of unknown. A journey may not be fully planned out ahead of time.
A business conference to Seattle would probably be described as a trip, whereas a family vacation road-trip from Nebraska, through the Colorado Rockies, camping in Nevada, then stopping in Las Vegas and returning through Oklahoma and Kansas, might be described as a journey.
Often, in colloquial English (at least in the U.S.), trip is far more commonly used than journey, even when describing long/epic travels.
Both trip and journey can also be verbs, but when used as verbs they are not interchangeable. To journey is to engage in the act of journeying:
We journeyed to the Grand Canyon.
However to trip is to cause someone to stumble or lose their balance.
She tripped the thief with her cane.
I tripped over the dog.
To trip up has the additional connotation of causing someone to blunder:
The reporter tripped up the senator.
There are also some additional cases where trip and journey cannot be interchanged in some common expressions:
- A guilt trip
- A high brought on by recreational drugs can be called a "trip."
- Trippy -- slang; reminiscent of the "trip" (high) brought on by recreational drugs; especially LSD
Your question makes some wrong assumptions.
These would all be idiomatic:
How was your|the trip? your journey, the things that happened to you along the way
How was the|your travel? the conditions of the transport itself, the roads, the trains, etc
Tell me about your travels. places you've been and things you've seen throughout your life or on an extended trip
Your travel will be fully reimbursed. the costs of traveling
Best Answer
I can't imagine why anyone would want to go to France, but anyway ... :-)
All three of your sentences are valid and common. I'd also add a fourth: "I want to visit France."
All mean pretty much the same thing. I don't think most fluent English speakers would make a distinction between "travel" and "trip" in such a context. Well, "travel" is a verb and "trip" is a noun, so they're used different. But "I want to travel to ..." and "I want to take a trip to ..." are pretty much synonymous.